First off, I don't even like to fly, so going into outer space doesn't even register on my radar. Now, for what I heard on NPR on the way home from Mankato, today:
1) NASA took some damaged tiles and put them in a blast furnace to mimic the heat they'd endure during re-entry. Those tests showed the aluminum skin underneath did not reach 350-degrees, which is its critical melting point.
2) The 100-ft. 'repair arm' is cumbersome, and astronauts in 300-lb. space suits would find themselves bouncing up and down a lot---they used the analogy of how a person at the end of a diving board bounces. If the Shuttle Repairperson should bump into the tiles, they'd probably do even more damage.
3) The repair goo they have with them has not been tested in space, so they aren't sure how it will react. If their tests showed the aluminum skin beneath the heat tiles would exceed 350-degrees, they'd risk the repair.
THEREFORE: NASA decided they'd go with the demon they know, rather than risk ones they don't know. Since they know more about it than I do, I'm going to withhold my 2-cents and hope those crazy astronauts get back safely.